Wave propagation in an initially stressed magneto-thermoelastic medium with voids and microtemperatures

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

“…In order to discuss the problem in greater detail and to find out the effects of various parameters considered in the medium on the physical fields, we now perform some numerical computations. For this purpose, the following values of relevant parameters are taken from Alshaikh [29]: The values of the microtemperature and magnetic parameters are taken from Kalkal et al [48]:…”

“…\end{eqnarray*}$$The values of the microtemperature and magnetic parameters are taken from Kalkal et al. [48]: $$$$\begin{eqnarray*} & &{k}_{1}=0.0035\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{ms}}^{-3},\hspace*{0.28em}{\mathrm{k}}_{2}=0.0045\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{ms}}^{-3},\hspace*{0.28em}{k}_{3}=0.0055\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{ms}}^{-3}{\mathrm{K}}^{-1},\\ & & {k}_{4}=0.0065\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{m}}^{3}{\mathrm{s}}^{-3},\hspace*{0.28em}{k}_{5}=0.0076\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{m}}^{3}{\mathrm{s}}^{-3},\hspace*{0.28em}{k}_{6}=0.0096\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{m}}^{3}{\mathrm{s}}^{-3},\\ & & {c}_{1}=0.15\ensuremath{\times{}}{10}^{-9}\hspace*{0.28em}\mathrm{kg}\hspace*{0.28em}{\mathrm{ms}}^{-2},\hspace*{0.28em}{\mu}_{0}=0.7{\mathrm{Hm}}^{-1},\hspace*{0.28em}{\varepsilon}_{0}=0.3{\mathrm{Hm}}^{-1},{H}_{0}=10\hspace*{0.28em}{\mathrm{Am}}^{-1}. \end{eqnarray*}$$$$Because …”

Reflection of Elastic Waves in Dipolar Gradient Half-Space under the Control of External Magnetic Field

“…In 2018, Ma et al [35] applied the fractional order theory and generalized thermoelastic theory, introduced the Lorentz force, and investigated the two-dimensional electromagnetic-thermal elasticity coupling problem. Recent research on the influence of an external magnetic field on the propagation of elastic waves by introducing the Lorentz force includes the work of Kalkal et al [36] in 2020, who considered prestresses and studied the propagation problem of plane waves in thermoelastic half-spaces with temperature and porosity. Kumar [37] utilized the Lord-Shulman generalized thermoelastic theory to derive a controlling equation for rotating orthogonal anisotropic magnetothermal elastic half-spaces and studied the reflection problem of elastic waves on stress-free adiabatic surfaces.…”

Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids

“…Othman et al [27] developed the mathematical model of thermoelasticity with the existence of initial stress, voids, and microtemperature. Kalkal et al [28] discussed wave nature in initially stressed thermoelastic problem with voids and microtemperature under magnetic field influence. Othman and Abd-Elaziz [29] observed effect of hall current and initial stress in porous thermoelastic condition with microtemperature.…”